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Recognizing Tenacious Graphs is NP-Hard

Seyed Morteza Dadvand1, Dara Moazzami2,3, Ali Moeini2
1 University of Tehran, School of Engineering, Faculty of Engineering Science, Department of Algorithms and Computation, Tehran, Iran
2University of Tehran, School of Engineering, Faculty of Engineering Science, Department of Algorithms and Computation, Tehran, Iran
3University of California Los Angeles, (UCLA), Department of Mathematics, U.S.A.

Abstract

In this paper we settle a long-standing open problem. We prove that it
is NP-hard to recognize T-tenacious graphs for any fixed positive rational
number T